|Abductive Reasoning by Children - Heidi Kloos, Guy Van Orden|
Children can link facts and events into integrated beliefs. This ability of the mind to combine facts to form higher-order Gestalts is central to many cognitive activities, including problem solving, analogical reasoning, and creative thought. In fact, it is central to the abduction of meaning: the creation of a self-sustaining pattern of ordered facts that are combined in the larger Gestalt. Abduction has mostly escaped experimental investigation, possibly because it often emerges instantly and...
Keywords: Abduction; Reasoning; Nonlinear Dynamics; Constraints; Parameter Dynamics
|scaling relation for a compact crumpled thin sheet - Bai,Wubin /Lin,Yen-Chih /Hou,Tzon-Kun /Hong,Tzay-Ming /|
A high-pressure chamber was designed to study the crumpling of thin sheets beyond the power-law regime. Preceded by a smooth transition, the crumpled ball that characterizes the high-pressure state contains less than 50% air and exhibits separate ordered domains. All the data for different sheet thickness, size, and even number collapse to a master line when using volume ratio and pressure as the plotting parameters...
Keywords: Nonlinear Dynamics; Fluid Dynamics; Classical Optics; condensed matter; crumpling
|Measurements of Nonlinear Refractive Index of Optical Fiber by Using Multiple Interference in OFRR - Yoh Imai, Hirohisa Yokota, Satoshi Yamauchi|
In this paper, a new method for measuring the nonlinear refractive index by using the multiple interference phenomenon occurred in an optical fiber ring resonator (OFRR) is proposed. In OFRRs, input light and circulated light components are added in succession, and then, result in forming a multiple interference output. The OFRR output exhibits nonlinear characteristics between the input and the output power due to the optical Kerr effect, as the input light power increases, as is shown in the b...
Keywords: Nonlinear Refractive Index; Optical Fiber Ring Resonator; Bifurcation Diagram; Nonlinear Dynamics
|Stability, Oscillatory Modes, Bifurcations, and Chaotic Behavior of Complex Systems with Phase Control|
This paper deals with the problem of nonlinear dynamics of complex system with phase control combining phase-locked loop and automatic gain control loop. The behavior of the examined system is described by nonlinear two- and four-dimensional sets of differential equations with periodical nonlinearities. Stability of synchronous mode, bifurcations determining boundaries of domain with quality different behavior of the considered system, and oscillatory modes arising in domain where synchronous mo...
Keywords: Systems with Phase and Gain Control; Nonlinear Dynamics; Stability; Bifurcation; Transitions to Chaos
|Embodiment of Consciousness - Bernhard Bierschenk|
The present article is based on the premise that mind is an emergent property of the processes that produce consciousness. Any scientific understanding must necessarily consider the need of an explanation of consciousness. Instead, the non-sense property of traditional scientific modelling appears to hide the phenomenon. In contrast, the explored hypothesis is based on the assumption that the meaningfulness of natural language is the carrier of consciousness...
Keywords: shapes of mind; AaO-axiom; consciousness; non-linear dynamics; awareness; causal loop diagram; ecological model; brain models; geometrical computation
|Ancient Icelandic consciousness embedded in the Gunnlaug saga - Bernhard Bierschenk|
A scientific approach to Old Icelandic text means considering it as self-referential and self-organising system. This implies that strings of graphemes become patterned through their own internal driving forces. In treating the Gunnlaug Saga with the reversibly synthesizing Agent-action-Objective [AaO] mechanism, emerging space-time patterns allow for setting up phase-dependent transitions for the [A] and [O] components of the mechanism...
Keywords: Dreams; mirroring; topology-changing transition; intention; orientation; resonance space; bi-componential disparity; self-sensitivity; Old-Icelandic; Gunnlaug Saga; non-linear dynamics; angular articulation
|mit :: ai :: aim :: AIM-1216|
From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AIM-1216
Keywords: chaotic; chaos; figure; nonlinear; behavior; attractor; bifurcation; phase; system; equations; phase space; limit cycle; fixed point; chaotic behavior; van der; nonlinear dynamics; lyapunov exponent; der pol; artificial intelligence; strange attractors
|mit :: ai :: aim :: AITR-1388|
From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AITR-1388
Keywords: parameter; trajectory; control; chaotic; trajectories; figure; segment; path; attractor; nonlinear; perfect moment; path finder; search region; cell size; nonlinear dynamics; initial condition; chaotic attractor; fixed points; segmented path; fixed point
|Mohammad I. Younis - MEMS Linear and Nonlinear Statics and Dynamics|
Mohammad I. Younis - MEMS Linear and Nonlinear Statics and Dynamics
Keywords: mems; beam; frequency; nonlinear; damping; equation; force; response; cantilever; electrostatic; natural frequency; nonlinear dynamics; natural frequencies; electrostatic force; cantilever beam; boundary conditions; proof mass; initial conditions; atomic force; quality factor
|Nonlinear Dynamics in Human Behavior - Raoul Huys, Viktor K. Jirsa|
Nonlinear Dynamics in Human Behavior
Keywords: dynamics; dynamical; phase; activation; perception; nonlinear; frequency; stable; perceptual; movement; dynamical systems; fixed point; phase space; fixed points; limit cycle; nonlinear dynamics; stable fixed; phase flow; rhythmic movements; perceptual dynamics
|MIT 6.832 Underactuated Robotics, Spring 2009 - MIT OpenCourseWare|
Instructor: Russell Tedrake Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which involve a loss of instantaneous control authority. Controlling nonlinear systems without complete control authority requires methods that can reason about and exploit the natural dynamics of our machines...
Keywords: underactuated robotics; actuated systems; nonlinear dynamics; simple pendulum; optimal control; double integrator; quadratic regulator; Hamilton-Jacobi-Bellman sufficiency; minimum time control; acrobot; cart-pole; partial feedback linearization; energy shaping; policy search; open-loop optimal control; trajectory stabilization; iterative linear quadratic regulator; differential dynamic programming; walking models; rimless wheel; compass gait; kneed compass gait; feedback control; running models; spring-loaded inverted pendulum; Raibert hoppers; motion planning; randomized motion planning; rapidly-exploring randomized trees; probabilistic road maps; feedback motion planning; planning with funnels; linear quadratic regulator; function approximation; state distribution dynamics; state estimation; stochastic optimal control; aircraft; swimming; flapping flight; randomized policy gradient; model-free value methods; temporarl difference learning; Q-learning; actor-critic methods
|Nonlinear Models of Neural and Genetic Network Dynamics in a Lukasiewicz Topos - I.C. Baianu|
Preprint: Nonlinear Models of Neural and Genetic Network Dynamics Abstract A categorical and /Lukasiewicz-Topos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is introduced. \Lukasiewicz Algebraic Logic models of both neural and genetic networks and signaling pathways in cells are formulated in terms of nonlinear dynamic systems with N-state components that allow for the generalization of prev...
Keywords: \Lukasiewicz models of Neural and Genetic Networks, Genome and cell interactomics models in terms of categories of \Lukasiewicz logic Algebras and Lukasiewicz Topos; \Lukasiewicz Topos with an n-valued \Lukasiewicz Algebraic Logic subobject classifier; genetic network transformations in Carcinogenesis; developmental processes and Evolution/ Evolutionary Biology; Relational Biology of Archea; yeast and higher eukaryotic organisms; nonlinear dynamics in non-random; hierarchic genetic networks; proteomics coupled genomes via signaling pathways; mechanisms of neoplastic transformations of cells and topological grupoid models of genetic networks in cancer cells; natural transformations of organismic structures in Molecular Biology; Neural and genetic network dynamics; LM-logic algebra; LM-Topoi; neural network development; morphogenesis; neoplastic transformations; LM-logic algebra categories; Lukasiewicz-Moisil Logic Algebra
|On the Emergence of Life and Human Consciousness - I. C. Baianu, Ronald Brown and James F. Glazebrook|
A Monograph Published in: Acta Universitatis Apulensis,ISSN 1582-5329, 2011: 10 (6)-175-298'Special Issue on Understanding Complex Systems,Eds. Barna Iantovics, Ladislav HluchÂ¶y and Roumen Kountchev. Abstract. In this monograph we present a novel approach to the problems raised by higher complexity in both nature and the human society, by considering the most complex levels of objective existence as ontological meta-levels, such as those present in the creative human minds and civilised, mode...
Keywords: Categorical Ontology and the Theory of Levels (COTL); meta-levels; Non- Abelian Categorical Ontology; analysis and synthesis; Theoretical Biology; General Systems Theory and Complex Systems Biology; closed and open systems; boundaries and horizons; complex; super-complex and ultra-complex system dynamics; nonlinear dynamics; autopoiesis and generalised metabolic-replication systems; (M; R)-systems (MRs) and organisms; Theory of Categories; Functors and Natural Transformations (CT); Yoneda-Grothendieck Lemma; category of categories; super-category; or 2-category; n-category; ETAC and ETAS axioms; Non-Abelian Algebraic Topology (NAAT); Double Groupoids; category of double groupoids and double category; Higher Homotopy-Generalised van Kampen theorems (HHGvKTs); Higher Dimensional Algebra (HDA) of Networks; Higher Dimensional Algebra of Brain Functions; non-commutative topological invariants of complex dynamic state spaces; Quantum Algebraic Topology (QAT) and Axiomatic Quantum Theory (AQT); Quantum Double
|On Quantum Nano-Automata and the Logics of Life - I. C. Baianu and James F. Glazebrook|
Abstract A novel approach to gene and neural networks, as well interactomics, in terms of quantum nano-automata formally represented in a categorical and Lukasiewicz-Topos framework of Lukasiewicz-Moisil (LM) Algebraic, many-valued (MV) Logics. General models of nonlinear dynamics in complex functional systems such as neural networks, genomes and cell interactomes are proposed based on categories of interacting quantum automata...
Keywords: quantum automata and quantum computation,quantum nano-automata, LM--algebraic logic, LM--logic algebras, algebraic category of LM-logic algebras, fundamental theorems of LM-logic algebra, non-linear genetic networks, nonlinear dynamics; Epigenomics; Cellular Interactomics; Immunology and hormonal regulatory systems; category theory; functors and natural transformations; toposes and Heyting logic algebras; quantum automata categories; limits and colimits; quantum automata homomorphisms; Abelian category; bicomplete categories; Quantum Relational Biology; generalised metabolic-replication (M; -R)--systems; complex bionetworks; quantum logic; non-commutative lattices. Hilbert space; quantum computers; computability of complex biological systems; Cartesian closed categories; extended quantum topos; category of groupoids; dynamic realisations of generalised (M-R)--systems (GMRs); category of GMRs; compact subsystems of a GMR